Yup. That's the answer - that's what XOR is for, so that you don't have to encrypt twice (or more) serially, but in parallel. Note too, that encrypting a pad can be done in advance, with spare cycles, at both ends, for many methods, then XOR with the pad extremely quickly to communicate.
In the Vietnam war the North Vietnamese army used both a one-time pad layer and a book code layer. But without computers it was too cumbersome a method and most messages therefore went out in the clear.
It's actually not what I was thinking of (I was in fact thinking of encrypting sequentially and hashing+XOR in parallel), but that's a good point, that might work too!
I'd need to think about it a bit more to convince myself it doesn't have any significant downsides though; it's less obvious to me. For one thing, requiring an OTP approach seems to constrain the set of encryption schemes you can use. (e.g. imagine an algorithm that reverses all the bits of every block before doing anything else.) Furthermore, if your custom encryption scheme happens to leave any kind of "watermark" on the ciphertext that makes it obvious it wasn't something standard like AES, applying the standard layer last will prevent the attacker from realizing you have a custom layer at all, until the standard layer is broken. Whereas if you use the OTP+XOR scheme, it might become obvious something else is going on too.
That said, this approach might actually be stronger than the layered approach, so it might actually be better. Need to think about it more :)
I'll have to look back to see if I in fact have added to the fundamental meaning of what others have called "layering."
The pad doesn't absolutely have to be an OTP, particularly when rolling your own layer, if the pad isn't the only key, and the key can change. Watermarks are extinguished when XORed with any genuinely decent (random-imitating, not frequency-bustable) encryption, true. And you're right, at least one layer should not have a watermark. Order doesn't matter though, there really isn't an order for the layers, they're merged with one another.
A not-very-good roll-your-own encryption scheme, if it introduces a very large number of permutations (such as starting pad, key) can be very helpful as a layer even though it would be a huge fail as stand-alone encryption. Mechanisms to increase adjust the size (of all but one layer, anyway) are advisable.